a semi-batch crystallization system is used to determine growth kinetics and morphology of barium carbonate crystals, under a constant ph value and constant temperature in the various relative supersaturations. results show that crystal growth rate satisfies a first-order kinetic expression at high relative supersaturation, while at relative supersaturation values lower than 3,  the kinetic exp...

The logsum formula, which provides the expected maximum utility for the multinomial logit model, is often used as a measure of welfare. We provide here a closed form formula of the welfare measure of an individual who has not access to his first-best choice, but has access to his rth-best choice, r = 2, ...n, where n is the number of alternatives. The derivation is based on a standard identity ...

Social comparisons are known to increase individual work morale, but because they could foster competition, may also negatively impact how well co-workers together. This paper uses a novel experiment explore this potential tradeoff. The varies whether members of reference group receive relative performance information on knowledge task and measures affects the willingness subsequently help prod...

In this article we consider relative iteration of entire functions and studycomparative growth of the maximum term of iterated entire functions withthat of the maximum term of the related functions.

Relative spacings are relative differences between order statistics. In this context, we extend previous results concerning the increasing convex of two distributions from case consecutive to general spacings. The sufficient conditions given in terms expected proportional shortfall order. As an application, compare deprivation within some parametric families income distributions.